Wash your orange under cold water or you can also use vegetable wash and then pat dry
Holding the microplane with one hand and the orange in the other, sweep the orange downward across the blades.Continue to turn the orange making sure you are only zesting in the same spot once.
Alternative: Box grater
You want to slide the orange down the side of the grater with the smallest holes. Be sure to watch your fingers so you don't cut yourself as you are sliding the orange down the sharp holes.Turn the orange with every swipe making sure to only zest the orange part of the peel.
Alternative: Vegetable peeler
Slide the blade over the orange peel taking small pieces only taking the orange part off from the peel. Rotate with every swipe so that you don't get down to the white bitter part of the peel.
Once you have all of your little slices, pile them up and chop them into a mince.
Notes
Tip: Make sure you are only getting the orange part of the peel. The white of the peel or the "pith" is very bitter and you won't achieve the citrus flavor you want.